I started my car kinda quickly, and went straight into drive not long after turning on the engine... I'm not sure if that had anything to do with it

I noticed that the disc player wasnt starting... (I turned it off with it still on...) then I tried pushing the radio button to tuirn it on, and it wouldnt work. I have turned off the car once and re-tried, but still not working.

The blinkers/signals also are not clicking when I use left/right or panic.

I did the same thing I believe that you did. Look for the fuse box next to the driver seat and open it. Grab the fuse puller and look for a yellow fuse in spot 14. With the car turned over (car isnt running, just the accessories working) pull the fuse and put it back in. You might see a small spark but its ok.

Let me know if this works. Solved my problem and I hope it will solve yours.

Edit: I swapped the yellow fuse for the extra fuse that was on the panel but both fuses looked to be in working order.